((3x/2x-1)-2)/((5/4x)-x/2x-1)

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Solution for ((3x/2x-1)-2)/((5/4x)-x/2x-1) equation:


D( x )

(5/4)*x-((x/2)*x)-1 = 0

(5/4)*x-((x/2)*x)-1 = 0

(5/4)*x-((x/2)*x)-1 = 0

(-1/2)*x^2+(5/4)*x-1 = 0

5/4*x-1/2*x^2-1 = 0

DELTA = (5/4)^2-(-1*(-1/2)*4)

DELTA = -7/16

DELTA < 0

x in (-oo:+oo)

(((3*x)/2)*x-2-1)/((5/4)*x-((x/2)*x)-1) = 0

(((3*x)/2)*x-2-1)/((-1/2)*x^2+(5/4)*x-1) = 0

(3/2*x^2-3)/(5/4*x-1/2*x^2-1) = 0

5/4*x-1/2*x^2-1 = 0

5/4*x-1/2*x^2-1 = 0

DELTA = (5/4)^2-(-1*(-1/2)*4)

DELTA = -7/16

DELTA < 0

1 = 0

3/2*x^2-3 = 0

3/2*x^2 = 3 // : 3/2

x^2 = 2

x^2 = 2 // ^ 1/2

abs(x) = 2^(1/2)

x = 2^(1/2) or x = -2^(1/2)

x in { 2^(1/2), -2^(1/2) }

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